Problema Solution

One integer is 6 less than another integer. The product of the lesser integer and -7 is 42 more than the greater integer. What are the integers?

Answer provided by our tutors

Let integers are x and y, with y being the lesser integer

y = x - 6

x = -7y + 42


substituting for y into equation 2:

x = -7(x-6) + 42

x = -7x+42 + 42

8x=84

x=84/8 = 10.5


so x can not actually be an integer, x=10.5, y=4.5